Combinatorics of the integral closure of edge ideals of strong quasi-n-partite graphs

2024/03/24 by Monica La Barbiera, La Barbiera, Monica, Roya Moghimipor +1
Computer Science · Mathematics · #05C70 #05C75 #13B22 #13C15 #13F20 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Digital Image Processing Techniques #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2403.16109

openalex publication_date 2024/03/24 · openalex created_date 2024/03/27 · openalex updated_date 2026/07/28

Abstract

Combinatorial properties of some ideals related to strong quasi-n-partites graphs are examined. We prove that the edge ideal of a strong quasi-n-partite graph is not integrally closed and we give an expression for its integral closure. Moreover, we are able to determine the structure of the ideals of vertex covers for the edge ideals associated to a strong quasi-n-partite graph.

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